Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
29400dt |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-162067500000000 = -1 · 28 · 33 · 510 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1991033,1080685563] |
[a1,a2,a3,a4,a6] |
Generators |
[793:1050:1] |
Generators of the group modulo torsion |
j |
-90888126966784/16875 |
j-invariant |
L |
6.5458806895319 |
L(r)(E,1)/r! |
Ω |
0.45324702984254 |
Real period |
R |
0.40117200374558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800f1 88200bg1 5880a1 29400cs1 |
Quadratic twists by: -4 -3 5 -7 |